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Finding the Fourth Proportional to 37,727.80, 56,624.10 and 16,700.20

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Solution

The fourth proportional to 37,727.80, 56,624.10 and 16,700.20 is: 25,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727.80 : 56,624.10 = 16,700.20 : x
  2. Step 2: Convert to fraction form
    37,727.80/56,624.10 = 16,700.20/x
  3. Step 3: Cross multiply
    37,727.80x = 56,624.10 × 16,700.20
  4. Step 4: Simplify right side
    37,727.80x = 945,633,794.82
  5. Step 5: Solve for x
    x = 945,633,794.82/37,727.80
  6. Step 6: Final answer
    x = 25,064.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.